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Finding the Fourth Proportional to 9,801.51, 13,516.86 and 7,559.82

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Solution

The fourth proportional to 9,801.51, 13,516.86 and 7,559.82 is: 10,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.51 : 13,516.86 = 7,559.82 : x
  2. Step 2: Convert to fraction form
    9,801.51/13,516.86 = 7,559.82/x
  3. Step 3: Cross multiply
    9,801.51x = 13,516.86 × 7,559.82
  4. Step 4: Simplify right side
    9,801.51x = 102,185,028.57
  5. Step 5: Solve for x
    x = 102,185,028.57/9,801.51
  6. Step 6: Final answer
    x = 10,425.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.